248772 has 12 divisors (see below), whose sum is σ = 580496. Its totient is φ = 82920.

The previous prime is 248753. The next prime is 248779. The reversal of 248772 is 277842.

248772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2⁵ + 4 + 7 + 8 + 7⁶ + 2¹⁷ .

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248772.

It is not an unprimeable number, because it can be changed into a prime (248779) by changing a digit.

248772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10354 + ... + 10377.

2²⁴⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

248772 is an abundant number, since it is smaller than the sum of its proper divisors (331724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248772 is a wasteful number, since it uses less digits than its factorization.

248772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738 (or 20736 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 248772 is about 498.7704883010. The cubic root of 248772 is about 62.8927376121.

The spelling of 248772 in words is "two hundred forty-eight thousand, seven hundred seventy-two".